Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]

Answers

Answer 1
Answer: 117/35 or 3 12/35

Step-by-Step Explanation:

1 1/5 = 6/5 (improper fraction form)
2 1/7 = 15/7 (improper fraction form)

Now we can add 6/5 and 15/7. To do this we have to take the LCM of 7 and 5 which would be 35 and make the denominators equal by multiplying the denominator and numerator with such a number that gives 35 as the denominator.

=> (6 * 7)/(5 * 7) = 42/35
=> (15 * 5)/(7 * 5) = 75/35

Now we can add the fractions.

=> 42/35 + 75/35
= (42 + 75)/35
=> 117/35 or 3 12/35

Related Questions

Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches. what is the volume of papers that the tray can hold? 160 inches cubed 180 inches cubed 280 inches cubed 300 inches cubed

Answers

The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

Volume of a rectangular prismLength= 12 inchesWidth = 10 inchesHeight = 2.5 inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

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#11 can someone help with this and also explain how they found the answer so ik how to do it

Answers

Answer:

24 units

Step-by-step explanation:

I really don't understand this, except for the fact that i found a workbook that has an answer with no work

hope this helps?:)

Please help! Asap!!!

Answers

Step-by-step explanation:

mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).

A)

since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).

B)

the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.

since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.

the only change is with the 2 corrected measurements.

the original (but wrong) measurement of 65 had a difference of 7 (to 72).

and now it is only 2 (70 to 72).

and the other one had a difference of 6 (72 to 78).

and now it is only 1 (73 to 72).

so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.

we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.

now this sum went down to 85-10 = 75.

and the new mean absolute deviation is 75/10 = 7.5.

I need help with this equation. Please solve for k

Answers

Hey there!

18 = -k + 3

-k + 3 = 18

-1k + 3 = 18

SUBTRACT 3 to BOTH SIDES

-1k + 3 - 3 = 18 - 3

SIMPLIFY IT!

-1k = 18 - 3

-1k = 15

DIVIDE -1 to BOTH SIDES

-1k/-1 = 15/-1

SIMPLIFY IT!
k = 15/-1

k = -15


Therefore, the answer is: k = -15



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

How many times can you subtract the number five from 25.

Answers

Answer:

one time

Step-by-step explanation:

because after that you would subtract by 20

Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?

Answers

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:

Surface Area
For the two figures below, the base area and the heights have been provided.
Figure A
Figure B
4 cm
5 cm
25 cm?
20 cm
what the volume for both figures?

Answers

Answer:

V of both A and B is 100 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A

A = 20 and h = 5 , then

V = 20 × 5 = 100 cm³

B

A = 25 and h = 4 , then

V = 25 × 4 = 100 cm³


Point B is between A and C. If AB = 3x, BC = 4x-2, and AC = 12, find the length of BC

Answers

Answer:

BC = 6 units

Step-by-step explanation:

given that B is between A and C , then

AB + BC = AC ( substitute values )

3x + 4x - 2 = 12

7x - 2 = 12 ( add 2 to both sides )

7x = 14 ( divide both sides by 7 )

x = 2

Then

BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6

Answer:

6

Step-by-step explanation:

from the question, since point B is between Ac

AC = AB + BC

12 = 3X+4X -2

3X+4X-2 = 12

7X = 12+2

7X = 14

dividing bothsides by 7

7X/7 = 14/7

X = 2

the length BC = 4X-2 = 4(2)-2 = 8-2= 6

length of BC = 6

buffy's beverages has increasing profits each week during the hot summer months. Buffy finds that each week his profits increase by 20% over what they were the previous week. In his first week of business his profits were $200

Answers

The exponential function that gives the profit after x weeks is given by:

[tex]P(x) = 200(1.2)^x[/tex].

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem:

Buffy finds that each week his profits increase by 20% over what they were the previous week, hence r = 0.2.In his first week of business his profits were $200, hence A(0) = 200.

Thus, the equation is given by:

[tex]A(x) = 200(1 + 0.2)^x[/tex]

[tex]A(x) = 200(1.2)^x[/tex]

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What's the mean, median, mode, and range of 8, 10, 8, 14, 8 and 15

Answers

Answer: Mean: 10.5, Median: 9 Mode: 8 Range: 7

Step-by-step explanation  

mean put the numbers in order, so 8,8,8,10,14,15 the mean is adding all numbers together and dividing by the number so 8 + 8 + 8 + 10 + 14 + 15 divided by 6 is 10.5,

median is middle so 9 since theres two middle numbers u add them both and then divide by 2

mode is the most so its 8 since 8 is there 3 times

range is the highest number and lowest number and u subtract them so 15 - 8 = 7

sorry if this is long but the answers are at the top

Answer:

Below in bold.

Step-by-step explanation:

Mean = ( 8 + 10 + 8 + 14 + 8 + 15) /  6

=  10.5.

Arrange in ascending order to find the median:

8 8 8 10 14 15

Median = mean of the middle 2 numbers

= (8 + 10)/2

= 9.

Mode = most occurring number = 8.

Range = greatest - least = 15 - 8 = 7.

3) If 5 pencils costs $0.75, 7 pencils will cost
Your answer
dollars. *

Answers

5x0.75 = $3.75

Multiply the number of pencils to how much each one costs

Answer:

$1.05

Step-by-step explanation:

Find the unit price by dividing $0.75 by 5.

$0.75/5 = $0.15

Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.

$0.15 x 7 = $1.05

PLEASE HELP, I NEED THE ANSWER BEFORE 3 HOURS 1. In the fraction the 11 represents the? a. Dividend b. Divisor c. Denominator 2. In the decimal number 125.795 the 9 represents the d. Quotient e. Both B & C place.​

Answers

Answer:

e. Both B & Chundredths

Step-by-step explanation:

Q1

In the fraction 5/11, 11 represents the divisor and the denominator.The correct option is e

Q2

In the number 125.795, the 9 represents the hundredths place

Answer:mbvcdhfguh

Step-by-step explanation:kvghjve5yr

Rewrite 4-3.4-18 using positive exponents.

Answers

Answer:

Step-by-step explanation:

4^-3

= 1/4^3

4^-18

= 1/4^18.

Find the center and radius of the circle represented by the equation below.

Answers

Answer:

Centre (5,-9) and radius is 14

Step-by-step explanation:

The circle equation is of form,

[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

where centre is (a,b) and radius is 'r'.

3
x + 2
3
3
12
32
12
Solve for x.

Answers

Answer:

6

explanation

[tex]since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6[/tex]

What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?

Answers

Answer:

4/52 or 1/13

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.

There are 4 kings, 4 queens, 4 aces, and 4 jacks.

So the probability of drawing a king would be:
4/52 = 1/13

Answer:

The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.

Step-by-step explanation:

52 cards in a deck 4 queens and 4 kings


What additional information do you need to prove the triangles are congruent by SAS

Answers

Answer:

Step-by-step explanation:

please answer asap!!!!!

Answers

Answer:

It is B kid you need to study this is basic shhhhhiz

Step-by-step explanation:

Answer:

it is B kid you need to study

answer with procedure

Answers

Answer:

2

Step-by-step explanation:

there needs to be qtr with 88 by 779900

a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillian measures an angle of depression to the boat at point A to be 10°. At some later time, Lillian takes another measurement and finds the angle of depression to the boat (now at point B) to be 68°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.​

Answers

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

Learn more about Tangent (Tanθ):

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Answer:

764

Step-by-step explanation:

Rounded. Just did the question

It’s confusing on how they worded it to me

Answers

You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).

Compute the slope:

(9 - 0) / (8 - 4) = 9/4

Using the point-slope formula, the equation of the line is

y - 0 = 9/4 (x - 4)

or

y = 9x/4 - 9

There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.

Answers

Answer:

2 : 3

Step-by-step explanation:

Given :

Ratio of black cards and red cards = 1 : 1Total cards = 48

Solving :

Let the cards be denoted by xx + x = 48x = 24 of each (red and black)

8 red cards have been removed from the pack.

So, now the ratio is :

Red : Black = 24 - 8 : 24Red : Black = 16 : 24Red : Black = 2 : 3

diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable

Answers

The angle that will be formed by the cable based on the information given will be 15°.

How to calculate the angle?

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

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HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP

Answers

Answer:

∠FDE or ∠GDA

Step-by-step explanation:

The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.

Here, in this diagram, there are 2 adjacent angles for ∠FDG :

∠FDE∠GDA

Given: f(x) = -2x² +x+6
5.1 Calculate the coordinates of the turning point of f.​

Answers

Answer:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

Step-by-step explanation:

Turning points (stationary points) occur when the gradient of a graph is zero.

To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.

Given function:

[tex]f(x)=-2x^2+x+6[/tex]

Differentiate:

[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]

[tex]\implies f'(x)=-4x+1[/tex]

Set the differentiated function to zero and solve for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies -4x+1=0[/tex]

[tex]\implies 4x=1[/tex]

[tex]\implies x=\dfrac{1}{4}[/tex]

To find the y-coordinate, input the found value of y into the given function:

[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]

[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]

Therefore, the turning point of the function is:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

answers

f=1/4=49/8

Step-by-step explanation:

identify the coefficients

a=-2, b=1

substitute the coefficient into the expression

x= -1/((2x(-2))

then solve it out the equation

x=1/4

evaluate the function x =1/4

f(x) =-2x²+x+6(1/4)

f=1/4=49/8

PLEASE HELP THIS IS DUE AFTER 20 MINS!! I’LL GIVE BRAINLIEST!

Answers

Answer:

lol

Step-by-step explanation:

lol

Need help with this problem

Answers

can you help with my out too ?

Please awnser the question does anyone want to help me with my math assignments

Answers

The two angles are supplementary angles and form a straight line which equals 180 degrees


x = 180 - 125

X = 55 degrees

Answer:

hope this will help you

Step-by-step explanation:

x+125=180

x=180-125

x=55°

What is the answer please?

Answers

Answer: D (bottom option)

Not Congruent

Step-by-step explanation:

Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.

Write the repeating decimal as a fraction.
1.4979

Answers

Answer:

1 4979/9999

Step-by-step explanation:

1.497949794979....

= 1 4979/9999

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